# LIB2-083 — The loaded local matter action has a correlated Z6 kernel

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.178)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

On the loaded one-generation field dictionary, the correlated cyclic Z6 centre acts trivially on all sixteen states, yielding the faithful local action GSM/Z6.

## Caution

The faithful local quotient does not fix the physical global structure or the allowed line operators.

## Primary source

Appendix F, §4.1, State-by-state centre check, PDF p.185: "All sixteen states satisfy (3), so g generates a Z6 = Z3 × Z2 that acts trivially on the whole package;"

## Machine

- url: /library-v2/LIB2-083/
- content_sha256: 19f447d3c8b4a11ab1c3bfdb084dd16a8f35a3c9537a22eb9bbcd46a669136e2
- candidate_ids: C2-043

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP